The first thing we would suggest you try is replace the battery in the garage door remote.
If that is not the problem, the remote is most likely going bad.
However, there is a slight chance you are getting interference from another electronic device in, or near the house.
We have a device that can track interference if a service call is needed. Give us a call at (513) 821-5095 if your Genie opener is giving you problems in the Greater Cincinnati area.